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Finding the Fourth Proportional to 565,842.59, 849,137.78 and 266,408.80

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Solution

The fourth proportional to 565,842.59, 849,137.78 and 266,408.80 is: 399,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,842.59 : 849,137.78 = 266,408.80 : x
  2. Step 2: Convert to fraction form
    565,842.59/849,137.78 = 266,408.80/x
  3. Step 3: Cross multiply
    565,842.59x = 849,137.78 × 266,408.80
  4. Step 4: Simplify right side
    565,842.59x = 226,217,777,004.46
  5. Step 5: Solve for x
    x = 226,217,777,004.46/565,842.59
  6. Step 6: Final answer
    x = 399,789.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.